120567060 has 216 divisors, whose sum is σ = 409886568. Its totient is φ = 28569600.

The previous prime is 120567059. The next prime is 120567067. The reversal of 120567060 is 60765021.

120567060 = 16² + 17² + ... + 712².

It can be written as a sum of positive squares in 4 ways, for example, as 4186116 + 116380944 = 2046^2 + 10788^2 .

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120567067) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2940640 + ... + 2940680.

It is an arithmetic number, because the mean of its divisors is an integer number (1897623).

Almost surely, 2^120567060 is an apocalyptic number.

120567060 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 120567060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204943284).

120567060 is an abundant number, since it is smaller than the sum of its proper divisors (289319508).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

120567060 is a wasteful number, since it uses less digits than its factorization.

120567060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135 (or 99 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 120567060 is about 10980.3032745002. The cubic root of 120567060 is about 494.0181332709.

It can be divided in two parts, 1205 and 67060, that added together give a triangular number (68265 = T₃₆₉).

The spelling of 120567060 in words is "one hundred twenty million, five hundred sixty-seven thousand, sixty".